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23 April, 00:52

The radius of the large sphere is double the radius of the

small sphere

How many times is the volume of the large sphere than the

small sphere?

acco

+3
Answers (1)
  1. 23 April, 01:20
    0
    Given:

    Radius of large sphere: R1

    Volume of sphere: V1

    Radius of small sphere: R2

    Volume of sphere: V2

    R1=2R2

    We know that:

    Volume of a sphere: 4/3πR^3

    Volume of large sphere: 4/3πR1^3

    Now we know that R1=2R2 (given)

    Thus volume of large sphere (V1) 32/3πR2^3.

    Volume of small sphere (V2) : 4/3πR2^3.

    Ratio of volume of large sphere to small sphere is 8:1.
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